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首页> 外文期刊>Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science >Error threshold ghosts in a simple hypercycle with error prone self-replication
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Error threshold ghosts in a simple hypercycle with error prone self-replication

机译：具有易错自我复制功能的简单超周期中的错误阈值重影

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摘要

A delayed transition because of mutation processes is shown to happen in a simple hypercycle composed by two indistinguishable molecular species with error prone self-replication. The appearance of a ghost near the hypercycle error threshold causes a delay in the extinction and thus in the loss of information of the mutually catalytic replicators, in a kind of information memory. The extinction time, c, scales near bifurcation threshold according to the universal square-root scaling law i.e. tau similar to (Q(hc) - Q)(-1/2), typical of dynamical systems close to a saddle-node bifurcation. Here, Q(hc) represents the bifurcation point named hypercycle error threshold, involved in the change among the asymptotic stability phase and the so-called Random Replication State (RRS) of the hypercycle; and the parameter Q is the replication quality factor. The ghost involves a longer transient towards extinction once the saddle-node bifurcation has occurred, being extremely long near the bifurcation threshold. The role of this dynamical effect is expected to be relevant in fluctuating environments. Such a phenomenon should also be found in larger hypercycles when considering the hypercycle species in competition with their error tail. The implications of the ghost in the survival and evolution of error prone self-replicating molecules with hypercyclic organization are discussed. (c) 2006 Elsevier Ltd. All rights reserved.
机译：结果表明，由于突变过程而导致的延迟过渡发生在一个简单的超循环中，该超循环由两个难以区分的分子组成，具有容易出错的自我复制。在一种信息存储器中，在超循环误差阈值附近出现重影会导致消光的延迟，从而导致相互催化复制器的信息丢失。消光时间c根据通用平方根缩放定律在接近分叉阈值的范围内缩放，即类似于（Q（hc）-Q）（-1/2）的tau，这是典型的接近鞍节点分叉的动力学系统。在此，Q（hc）代表称为超周期误差阈值的分叉点，它涉及渐进稳定阶段和超周期的所谓随机复制状态（RRS）之间的变化;参数Q是复制质量因子。一旦发生了鞍节点分叉，幻影涉及到更长的灭绝过渡，在分叉阈值附近非常长。预期这种动态效应的作用与动荡的环境有关。考虑到超循环物种与其错误尾巴竞争时，也应在较大的超循环中发现这种现象。讨论了重影在具有超环组织的易错自复制分子的存活和进化中的意义。 （c）2006 Elsevier Ltd.保留所有权利。

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